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Finding the Third Proportional to 121,167 and 256,909.50

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Solution

The third proportional to 121,167 and 256,909.50 is: 544,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,167 : 256,909.50 = 256,909.50 : x
  2. Step 2: Convert to fraction form
    121,167/256,909.50 = 256,909.50/x
  3. Step 3: Cross multiply
    121,167x = 256,909.50 × 256,909.50
  4. Step 4: Simplify right side
    121,167x = 66,002,491,190.25
  5. Step 5: Solve for x
    x = 66,002,491,190.25/121,167
  6. Step 6: Final answer
    x = 544,723.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.